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2133165757 is a prime number
BaseRepresentation
bin111111100100101…
…1000011010111101
312111122221001022011
41333021120122331
513332042301012
6551401051221
7103601416102
oct17711303275
95448831264
102133165757
119a5131008
124b6486b11
1327cc30a78
14163440aa9
15c74191a7
hex7f2586bd

2133165757 has 2 divisors, whose sum is σ = 2133165758. Its totient is φ = 2133165756.

The previous prime is 2133165719. The next prime is 2133165779. The reversal of 2133165757 is 7575613312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1071318361 + 1061847396 = 32731^2 + 32586^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133165757 - 211 = 2133163709 is a prime.

It is a super-2 number, since 2×21331657572 = 9100792293674766098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133166757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066582878 + 1066582879.

It is an arithmetic number, because the mean of its divisors is an integer number (1066582879).

Almost surely, 22133165757 is an apocalyptic number.

It is an amenable number.

2133165757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133165757 is an equidigital number, since it uses as much as digits as its factorization.

2133165757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 132300, while the sum is 40.

The square root of 2133165757 is about 46186.2074325225. The cubic root of 2133165757 is about 1287.2854716809.

The spelling of 2133165757 in words is "two billion, one hundred thirty-three million, one hundred sixty-five thousand, seven hundred fifty-seven".